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Which of the following is a correct partial-fraction decomposition of ?
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem Which of the following is a correct partial-fraction decomposition of 7 x − 1 x ( x + 3 ) \displaystyle \frac{7x-1}{x(x+3)} x ( x + 3 ) 7 x − 1 ?
(a) 1 3 x + 20 3 ( x + 3 ) \dfrac{1}{3x}+\dfrac{20}{3(x+3)} 3 x 1 + 3 ( x + 3 ) 20
(b) 22 3 x − 1 3 ( x + 3 ) \dfrac{22}{3x}-\dfrac{1}{3(x+3)} 3 x 22 − 3 ( x + 3 ) 1
(c) − 1 3 x + 22 3 ( x + 3 ) -\dfrac{1}{3x}+\dfrac{22}{3(x+3)} − 3 x 1 + 3 ( x + 3 ) 22
(d) 7 x − 1 x + 3 \dfrac{7}{x}-\dfrac{1}{x+3} x 7 − x + 3 1
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